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12580434 = 23479983
BaseRepresentation
bin101111111111…
…011001010010
3212200011010000
4233333121102
511210033214
61125350430
7211634436
oct57773122
925604100
1012580434
117112959
124268416
1327b6259
1419569c6
151187809
hexbff652

12580434 has 40 divisors (see below), whose sum is σ = 28575360. Its totient is φ = 4136184.

The previous prime is 12580433. The next prime is 12580439. The reversal of 12580434 is 43408521.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12580398 and 12580407.

It is not an unprimeable number, because it can be changed into a prime (12580433) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12307 + ... + 13289.

It is an arithmetic number, because the mean of its divisors is an integer number (714384).

Almost surely, 212580434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12580434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14287680).

12580434 is an abundant number, since it is smaller than the sum of its proper divisors (15994926).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12580434 is an equidigital number, since it uses as much as digits as its factorization.

12580434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 12580434 is about 3546.8907510663. The cubic root of 12580434 is about 232.5761665125.

Adding to 12580434 its reverse (43408521), we get a palindrome (55988955).

The spelling of 12580434 in words is "twelve million, five hundred eighty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 79 81 158 162 237 474 711 983 1422 1966 2133 2949 4266 5898 6399 8847 12798 17694 26541 53082 77657 79623 155314 159246 232971 465942 698913 1397826 2096739 4193478 6290217 12580434